Continuous Hecke algebras

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dc.creatorEtingof, Pavel
dc.creatorGan, Wee Liang
dc.creatorGinzburg, Victor
dc.date2005-01-13
dc.date2005-09-08
dc.date.accessioned2026-07-07T05:16:01Z
dc.date.available2026-07-07T05:16:01Z
dc.descriptionWe study a generalization of graded Hecke algebras introduced by Drinfeld in 1986, in which the role of a finite group G is played by a reductive algebraic group. This includes continuous generalizations of symplectic reflection algebras and of rational Cherednik algebras. We prove direct and converse PBW theorems, and also study versions of our algebras in which the group G is replaced with its Lie algebra. We also begin to develop the representation theory of continuous Hecke algebras, which unifies representation theories of real reductive groups, Drinfeld-Lusztig degenerate affine Hecke algebras, and symplectic reflection (in particular, Cherednik) algebras. The paper is dedicated to V. Drinfeld's 50-th birthday.
dc.description28 pages, latex; the exposition and the title of the paper are changed in the present version
dc.identifierhttps://arxiv.org/abs/math/0501192
dc.identifierhttp://arxiv.org/abs/math/0501192
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73838
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.titleContinuous Hecke algebras
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